Exploring Symmetry in Regular Polygons
Investigate how the lines of symmetry and order of rotational symmetry of a regular polygon relate to its number of sides.
Aufgabe 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Aufgabe 2
Create a hexagon. Record the number of lines of symmetry you find. What is the order of rotational symmetry? Repeat the process with a triangle. Observe your results. Can you predict the number of lines of symmetry and the order of rotational symmetry that a 15-gon would have? What about a 100-gon?
Aufgabe 3
Polly says that a 150-gon looks almost like a circle, so a circle should have 150 lines of symmetry, an order of rotational symmetry of 150. Do you agree? Why or why not?